Answer :
9/16 is closer to 1/2 because 8 is half of 16 and 9 is one greater than 8. so it is closer to 1/2.
5/6 is closer to 1 because 6/6=1 and 5 is just one less than 6. so it is closer to 1.
[tex]\frac{9}{16} > \frac{9}{18}=\frac{1}{2}\\\\\frac{9}{16} < \frac{16}{16}=1\\\\therefore\ \frac{1}{2} < \frac{9}{16} < 1\\\\\frac{9}{16}-\frac{1}{2}=\frac{9}{16}-\frac{8}{16}=\frac{1}{16}\\\\1-\frac{9}{16}=\frac{16}{16}-\frac{9}{16}=\frac{7}{16}\\\\\frac{1}{16} < \frac{7}{16}\\\\Conclusion:\ \frac{9}{16}\ is\ clostes\ to\ \frac{1}{2}[/tex]
[tex]other\ solution:\\\\\frac{9}{16}=0.5625\\\\\frac{1}{2}=0.5\\\\0.5625-0.5=0.0625\\1-0.5626=0.4375\\\\Conclusion:\frac{9}{16}=0.5625\ is\ clostes\ to\ \frac{1}{2}=0.5.[/tex]
[tex]\frac{5}{6} > 0\\\\\frac{5}{6} > \frac{3}{6}=\frac{1}{2}\\\\\frac{5}{6} < \frac{6}{6}=1\\\\\frac{5}{6}-\frac{1}{2}=\frac{5}{6}-\frac{3}{6}=\frac{2}{6}\\\\1-\frac{5}{6}=\frac{6}{6}-\frac{5}{6}=\frac{1}{6}\\\\\frac{2}{6} > \frac{1}{6}\\\\Conclusion:\frac{5}{6}\ is\ closest\ to\ 1[/tex]
[tex]other\ solution:\\\\\frac{9}{16}=0.5625\\\\\frac{1}{2}=0.5\\\\0.5625-0.5=0.0625\\1-0.5626=0.4375\\\\Conclusion:\frac{9}{16}=0.5625\ is\ clostes\ to\ \frac{1}{2}=0.5.[/tex]
[tex]\frac{5}{6} > 0\\\\\frac{5}{6} > \frac{3}{6}=\frac{1}{2}\\\\\frac{5}{6} < \frac{6}{6}=1\\\\\frac{5}{6}-\frac{1}{2}=\frac{5}{6}-\frac{3}{6}=\frac{2}{6}\\\\1-\frac{5}{6}=\frac{6}{6}-\frac{5}{6}=\frac{1}{6}\\\\\frac{2}{6} > \frac{1}{6}\\\\Conclusion:\frac{5}{6}\ is\ closest\ to\ 1[/tex]
